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L1-approximation of Fourier series of complex-valued functions
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 126:343-353
- Publication Year :
- 1996
- Publisher :
- Cambridge University Press (CUP), 1996.
-
Abstract
- V. B. Stanojevic suggested in her recent paper that it would be of interest to prove a corresponding L1-convergence theorem for Fourier series with complex O-regularly varying quasimonotonc coefficients. The present paper will discuss this question and establish L1-convergence and. furthermore. L1-approximation theorems for complex-valued integrable functions.
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 126
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........a50f4880b4a2d1070c334dfdfbdfb46c